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Finding the Fourth Proportional to 8,287.73, 12,436.83 and 7,509.32

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Solution

The fourth proportional to 8,287.73, 12,436.83 and 7,509.32 is: 11,268.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.73 : 12,436.83 = 7,509.32 : x
  2. Step 2: Convert to fraction form
    8,287.73/12,436.83 = 7,509.32/x
  3. Step 3: Cross multiply
    8,287.73x = 12,436.83 × 7,509.32
  4. Step 4: Simplify right side
    8,287.73x = 93,392,074.07
  5. Step 5: Solve for x
    x = 93,392,074.07/8,287.73
  6. Step 6: Final answer
    x = 11,268.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.